Proportional Relationships
Emanual is planting trees along a new city sidewalk. He plants the same number of trees on each city block. After 3 blocks, he has planted 15 trees. After 5 blocks, he has planted 25 trees. At what rate is Emanual planting trees?
(___ trees per block)
5 trees per block
What is 4 divided by (-2.5)?
-1.6
An expression is shown.
-3(x-4)
Which expression is equivalent to the given expression?
A. -3x +4
B. -3x -4
C. -3x +12
D. -3x - 12
C. -3x +12
Arie has a bag that contains 15 yellow marbles, 13 blue marbles, and 22 red marbles. Select the TWO statements that are true when Arie randomly draws 10 marbles from the bag.
A. She is likely to draw all red marbles.
B. She is likely to draw more blue marbles than red marbles.
C. She is likely to draw more red marbles than yellow marbles.
D. She is likely to draw about the same number of yellow and blue marbles.
E. She is likely to draw more red marbles than yellow and blue marbles combined.
C. She is likely to draw more red marbles than yellow marbles.
D. She is likely to draw about the same number of yellow and blue marbles.
Jamar is buying bottles of juice for his class party. A pack of 12 bottles of juice costs $3.96. Which expression could Jamar use to determine the cost of 1 bottle of juice?
A. 3.96 divided by 12
B. 3.96 times 12
C. 12 divided by 3.96
D. 12 - 3.96
A. 3.96 divided by 12
What is -27 + 13?
-14
An expression is shown.
0.8(4x + 6y)
Select the TWO expressions that are equivalent to the given expression.
A. 0.8(6x + 4y)
B. 1.6(2x + 3y)
C. 1.6x(2x + 4y)
D. 3.2x + 4.8y
E. 4.8x + 6.8y
B. 1.6(2x + 3y)
AND
D. 3.2x + 4.8y
Whenever Hannah turns on her cell phone, it randomly shows a background image from a group of 6 images Hannah has selected. Of the 6 images Hannah has selected,
- exactly 2 are of her friends,
- exactly 3 are of her family members, and
- exactly 1 is of her pet dog.
What is the probability that the cell phone shows an image OTHER THAN the pet dog the next time Hannah turns on her cell phone?
5/6
A recipe calls for 2 1/3 cups of flour. Jane needs to make only half of the recipe. Write an expression to represent the number of cups of flour she needs.
2 1/3 divided by 2
OR
2 1/3 times 1/2
What is 12 - (-5)?
17
What is the solution to the equation
2(x + 2.4) = 6.4?
0.8
A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
$17.50
A cat receives 0.15 milliliter of medicine for every 2.5 pounds that it weighs. Tabby is a cat that weighs 9.75 pounds. How much medicine, rounded to the nearest hundredth of a milliliter, should Tabby receive?
0.59 milliliter
Which situation applies an additive inverse to find the total amount of money?
A. Dylan spent $5 and then found $5.
B. Dylan found $5 and then found $5 more.
C. Dylan spent $5 and then gave $3 to a friend.
D. Dylan found $5 and then kept the money in his pocket.
A. Dylan spent $5 and then found $5.
In a mine, 0.6% of all the mined material is copper. The company that runs the mine needs the mine to produce more than 0.81 million tons of copper to make a profit this year. The mine has already produced 0.75 million tons of copper this year. The inequality below represents x, the additional millions of tons of material that need to be mined this year for the mine to make a profit.
0.75 + 0.006x > 0.81
Which inequality shows all the possible values of x that make the above inequality true?
A. x > 1
B. x > 10
C. x > 26
D. x > 260
B. x > 10
Jorge wants to buy his father a gift that costs $32. He has already saved $18 for the gift. Jorge saves the same amount of money each week for the next 4 weeks. How much money, in dollars, will Jorge save each week to have exactly enough money to buy his father the gift?